#abc093b. [abc093_b]Small and Large Integers

[abc093_b]Small and Large Integers

Problem Statement

Print all the integers that satisfies the following in ascending order:

  • Among the integers between AA and BB (inclusive), it is either within the KK smallest integers or within the KK largest integers.

Constraints

  • 1leqAleqBleq1091 \\leq A \\leq B \\leq 10^9
  • 1leqKleq1001 \\leq K \\leq 100
  • All values in input are integers.

Input

Input is given from Standard Input in the following format:

AA BB KK

Output

Print all the integers that satisfies the condition above in ascending order.


Sample Input 1

3 8 2

Sample Output 1

3
4
7
8
  • 33 is the first smallest integer among the integers between 33 and 88.
  • 44 is the second smallest integer among the integers between 33 and 88.
  • 77 is the second largest integer among the integers between 33 and 88.
  • 88 is the first largest integer among the integers between 33 and 88.

Sample Input 2

4 8 3

Sample Output 2

4
5
6
7
8

Sample Input 3

2 9 100

Sample Output 3

2
3
4
5
6
7
8
9